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2148658800157 is a prime number
BaseRepresentation
bin11111010001000110000…
…010110110011000011101
321121102001201121100112101
4133101012002312120131
5240200423123101112
64323025155005101
7311143524312502
oct37210602663035
97542051540471
102148658800157
11759271971711
122a8511599791
13127804cb1b4c
1475dd20774a9
153ad58e7e757
hex1f4460b661d

2148658800157 has 2 divisors, whose sum is σ = 2148658800158. Its totient is φ = 2148658800156.

The previous prime is 2148658800151. The next prime is 2148658800179. The reversal of 2148658800157 is 7510088568412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1371098141721 + 777560658436 = 1170939^2 + 881794^2 .

It is a cyclic number.

It is not a de Polignac number, because 2148658800157 - 223 = 2148650411549 is a prime.

It is a super-3 number, since 3×21486588001573 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2148658800098 and 2148658800107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2148658800151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1074329400078 + 1074329400079.

It is an arithmetic number, because the mean of its divisors is an integer number (1074329400079).

Almost surely, 22148658800157 is an apocalyptic number.

It is an amenable number.

2148658800157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2148658800157 is an equidigital number, since it uses as much as digits as its factorization.

2148658800157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4300800, while the sum is 55.

The spelling of 2148658800157 in words is "two trillion, one hundred forty-eight billion, six hundred fifty-eight million, eight hundred thousand, one hundred fifty-seven".